It is devoted to phenomenon of self-organized criticality. This phenomenon takes place in many spatially distributed nonlinear systems and characterized by power law distribution of events. The latter one remains valid in the range of many orders.
It is proposed a simple model demonstrating a transition from critical state to usual noncritical state while a control parameter is being changed. The particular attention is paid to the analytically solvable critical limit. In this limit the spatial structure of the system becomes irrelevant.
The paper contains some prospects for further researches and of possible areas where critical models can be used.
Publication language:russian
Research direction:
Mathematical modelling in actual problems of science and technics
